Analyzer

A non-transitory computer-readable medium storing thereon a computer program which, when executed by a processor of a computer, causes the computer to perform operations comprising:

• applying a magnetic moment to each of particles of a particle system defined in a virtual space;
• calculating a magnetic physical quantity related to the particle system including the particles, to which the magnetic moment is applied;
• and
• numerically calculating a governing equation, which governs a movement of each particle, using the calculation result of the magnetic physical quantity,
• wherein the calculating the magnetic physical quantity includes numerically calculating an induction magnetic field in a particle group using an expression for an induction magnetic field derived by gauge transformation using a local gravity center vector representing a gravity center position of the particle group to be analyzed, in which particles within the particle group are not electrically insulated from one another,
• wherein the expression for the induction magnetic field is:
• H
• ⁡
• (
• r
• i
• )
• =
• -
• a
• 3
• 6
• ⁢
• ∑
• j
• ⋐
• i
• N
• i
• ⁢
• σ
• j
• ⁡
• [
• B
• .
• j
• -
• (
• n
• ij
• ·
• B
• .
• j
• )
• ⁢
• n
• ij
• r
• ij
• -
• (
• r
• ij
• ·
• d
• ii
• )
• ⁢
• B
• .
• j
• -
• (
• r
• ij
• ·
• B
• .
• j
• )
• ⁢
• d
• ii
• r
• ij
• 3
• ]
• -
• 1
• 6
• ⁢
• σ
• i
• ⁢
• a
• 2
• ⁢
• B
• .
• i
• -
• 1
• 30
• ⁢
• ∑
• j
• ⋐
• i
• N
• i
• ⁢
• σ
• j
• ⁢
• a
• 5
• ⁢
• 3
• ⁢
• (
• n
• ij
• ·
• B
• .
• j
• )
• ⁢
• n
• ij
• -
• B
• .
• j
• r
• ij
• 3
• wherein a is a particle size, N is a number of particles, σ is an electrical conductivity, n is an expansion order of spherical harmonics, r is vector based on a radial position, B is a magnetic flux density, d is a vector based on the local gravity center vector, and i and j are integer indices.

An analyzer comprising:

• a magnetic moment application hardware component configured to apply a magnetic moment to a particle system defined in a virtual space;
• a magnetic field calculation hardware component configured to calculate a magnetic physical quantity related to the particle system including particles, to which the magnetic moment is applied by the magnetic moment application hardware component;
• and
• a particle state calculation hardware component configured to numerically calculate a governing equation, which governs a movement of each particle, using the calculation result in the magnetic field calculation hardware component;
• wherein the magnetic field calculation hardware component numerically calculates an induction magnetic field in a particle group using an expression for an induction magnetic field derived by gauge transformation using a local gravity center vector representing a gravity center position of the particle group to be analyzed, in which particles within the particle group are not electrically insulated from one another,
• wherein the expression for the induction magnetic field is:
• H
• ⁡
• (
• r
• i
• )
• =
• -
• a
• 3
• 6
• ⁢
• ∑
• j
• ⋐
• i
• N
• i
• ⁢
• σ
• j
• ⁡
• [
• B
• .
• j
• -
• (
• n
• ij
• ·
• B
• .
• j
• )
• ⁢
• n
• ij
• r
• ij
• -
• (
• r
• ij
• ·
• d
• ii
• )
• ⁢
• B
• .
• j
• -
• (
• r
• ij
• ·
• B
• .
• j
• )
• ⁢
• d
• ii
• r
• ij
• 3
• ]
• -
• 1
• 6
• ⁢
• σ
• i
• ⁢
• a
• 2
• ⁢
• B
• .
• i
• -
• 1
• 30
• ⁢
• ∑
• j
• ⋐
• i
• N
• i
• ⁢
• σ
• j
• ⁢
• a
• 5
• ⁢
• 3
• ⁢
• (
• n
• ij
• ·
• B
• .
• j
• )
• ⁢
• n
• ij
• -
• B
• .
• j
• r
• ij
• 3
• wherein a is a particle size, N is a number of particles, σ is an electrical conductivity, n is an expansion order of spherical harmonics, r is vector based on a radial position, B is a magnetic flux density, d is a vector based on the local gravity center vector, and i and j are integer indices.